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H. G. Muller wrote on Sat, Feb 16, 2013 04:26 PM UTC:
OK, I see. Yes, it makes sense that color binding should somehow incur a penalty, and that combining would take this penalty away. OTOH I remember doing some measurements with a 'switching Bishop', which had a single-step backward non-capture on it. This was hardly an improvement over the normal Bishop (when both played in pairs), perhaps something like 25 cP. And there was a similar, perhaps slightly lower increase (~15cP) of the Knight value when I equipped it with such an extra non-capture, so it seems that a large part of that bonus is tactical.

This was all measured before I had Pair-o-Max, but that should not matter much in this case, as none of the involved pieces has mating potential. The Bishop pair bonus could have an effect, though. I am just not sure what the effect would be. So perhaps I should just redo the measurement with Pair-o-Max.

I am currently running 1600-game matches with Pair-o-Max of Commoners vs Knights and Woody Rooks (WD) vs Knights. The Commoners already lost 819-781, or about 51%-49% (1-sigma error 1%), i.e. hardly significant. The other match is still running. After that I will do R2.

Adjutants etc. would be a very interesting case as well. I will keep it in mind.

[edit]
The WD pair versus Knights ended with almost exact equality (810-790 in favor of WD), well within the 1-sigma error.
 I am running the R2 matches now, replacing the pair of N by a pair of R2, and handicapping the Knights with additional Pawn odds or not. Early results suggest the R2 pair (very) lightly loses to the Knights even with the help of Pawn odds. That suggests Knight minus 60cP. On the Kaufman scale that would make R2 = 265.

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